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Finding the Third Proportional to 512,230 and 751,738

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Solution

The third proportional to 512,230 and 751,738 is: 1,103,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,230 : 751,738 = 751,738 : x
  2. Step 2: Convert to fraction form
    512,230/751,738 = 751,738/x
  3. Step 3: Cross multiply
    512,230x = 751,738 × 751,738
  4. Step 4: Simplify right side
    512,230x = 565,110,020,644
  5. Step 5: Solve for x
    x = 565,110,020,644/512,230
  6. Step 6: Final answer
    x = 1,103,234.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.